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23690448 = 2433293161
BaseRepresentation
bin101101001011…
…1110011010000
31122120121012000
41122113303100
522031043243
62203434000
7405236235
oct132276320
948517160
1023690448
1112410a91
127b25900
134ba6122
14320978c
15212e5d3
hex1697cd0

23690448 has 160 divisors (see below), whose sum is σ = 73804800. Its totient is φ = 7257600.

The previous prime is 23690431. The next prime is 23690461. The reversal of 23690448 is 84409632.

It is a happy number.

It is a super-2 number, since 2×236904482 = 1122474652881408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388338 + ... + 388398.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 223690448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23690448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902400).

23690448 is an abundant number, since it is smaller than the sum of its proper divisors (50114352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23690448 is a wasteful number, since it uses less digits than its factorization.

23690448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23690448 is about 4867.2834312376. The cubic root of 23690448 is about 287.2044014088.

The spelling of 23690448 in words is "twenty-three million, six hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 61 62 72 87 93 108 116 122 124 144 174 183 186 216 232 244 248 261 279 348 366 372 432 464 488 496 522 549 558 696 732 744 783 837 899 976 1044 1098 1116 1392 1464 1488 1566 1647 1674 1769 1798 1891 2088 2196 2232 2697 2928 3132 3294 3348 3538 3596 3782 4176 4392 4464 5307 5394 5673 6264 6588 6696 7076 7192 7564 8091 8784 10614 10788 11346 12528 13176 13392 14152 14384 15128 15921 16182 17019 21228 21576 22692 24273 26352 28304 30256 31842 32364 34038 42456 43152 45384 47763 48546 51057 54839 63684 64728 68076 84912 90768 95526 97092 102114 109678 127368 129456 136152 164517 191052 194184 204228 219356 254736 272304 329034 382104 388368 408456 438712 493551 658068 764208 816912 877424 987102 1316136 1480653 1974204 2632272 2961306 3948408 5922612 7896816 11845224 23690448